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Finding the Fourth Proportional to 12,316.68, 16,999.74 and 7,537.68

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Solution

The fourth proportional to 12,316.68, 16,999.74 and 7,537.68 is: 10,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316.68 : 16,999.74 = 7,537.68 : x
  2. Step 2: Convert to fraction form
    12,316.68/16,999.74 = 7,537.68/x
  3. Step 3: Cross multiply
    12,316.68x = 16,999.74 × 7,537.68
  4. Step 4: Simplify right side
    12,316.68x = 128,138,600.20
  5. Step 5: Solve for x
    x = 128,138,600.20/12,316.68
  6. Step 6: Final answer
    x = 10,403.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.